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A Primer of Permutation Statistical Methods (2019)

A Primer of Permutation Statistical Methods

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"A Primer of Permutation Statistical Methods" by Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke, Jr. is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

The primary purpose of this textbook is to introduce the reader to a wide variety of elementary permutation statistical methods. Permutation methods are optimal for small data sets and non-random samples, and are free of distributional assumptions. The book follows the conventional structure of most introductory books on statistical methods, and features chapters on central tendency and variability, one-sample tests, two-sample tests, matched-pairs tests, one-way fully-randomized analysis of variance, one-way randomized-blocks analysis of variance, simple regression and correlation, and the analysis of contingency tables. In addition, it introduces and describes a comparatively new permutation-based, chance-corrected measure of effect size. Because permutation tests and measures are distribution-free, do not assume normality, and do not rely on squared deviations among sample values, they are currently being applied in a wide variety of disciplines. This book presents permutation alternatives to existing classical statistics, and is intended as a textbook for undergraduate statistics courses or graduate courses in the natural, social, and physical sciences, while assuming only an elementary grasp of statistics.

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Best For: Students and researchers working with small data sets or non-random samples in statistics and related fields.
Focus: Introduction to elementary permutation statistical methods without relying on distributional assumptions.
Covers: Topics include central tendency and variability, one-sample tests, two-sample tests, and matched-pairs tests using permutation methods.
Why It Matters: Permutation methods provide a flexible alternative to traditional statistical tests, especially useful when data do not meet common assumptions or sample sizes are small.

"A Primer of Permutation Statistical Methods" by Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke, Jr. is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke, Jr.

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The primary purpose of this textbook is to introduce the reader to a wide variety of elementary permutation statistical methods. Permutation methods are optimal for small data sets and non-random samples, and are free of distributional assumptions. The book follows the conventional structure of most introductory books on statistical methods, and features chapters on central tendency and variability, one-sample tests, two-sample tests, matched-pairs tests, one-way fully-randomized analysis of variance, one-way randomized-blocks analysis of variance, simple regression and correlation, and the analysis of contingency tables. In addition, it introduces and describes a comparatively new permutation-based, chance-corrected measure of effect size. Because permutation tests and measures are distribution-free, do not assume normality, and do not rely on squared deviations among sample values, they are currently being applied in a wide variety of disciplines. This book presents permutation alternatives to existing classical statistics, and is intended as a textbook for undergraduate statistics courses or graduate courses in the natural, social, and physical sciences, while assuming only an elementary grasp of statistics.

AuthorKenneth J. Berry, Janis E. Johnston, Paul W. Mielke, Jr.
PublisherSpringer
Published2019-08-13
ISBN-139783030209322
BindingHardcover
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics

Format: Hardcover

Language: English

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